Vibration and buckling analysis of functionally graded shells with transverse shear and rotary inertia

Abstract

Free vibration and buckling analysis of functionally graded shells subjected to combined static and periodic axial forces is presented considering the effect of transverse shear and rotary inertia. Numerical results for silicon nitride-nickel cylindrical shells are presented based on two different methods of first-order shear deformation theory (FSDT) considering the transverse shear strains and the rotary inertias and the classical shell theory (CST). The results obtained show that the effect of transverse shear and rotary inertias on free vibration and buckling of functionally graded cylindrical shells is dependent on the material composition, the temperature environment, the amplitude of static load, the deformation mode, and the shell geometry parameters.